On computing residue integrals for a class of nonlinear transcendental systems

A. Kytmanov, A. Kytmanov, E. K. Myshkina
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Abstract

A method of computing residue integrals with integration over certain cycles for systems of transcendental equations is presented. Such integrals are connected to the power sums of roots for a certain system of equations. The described approach can be used for developing methods for the elimination of unknowns from transcendental systems.
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一类非线性超越系统的剩余积分计算
给出了一种计算超越方程系统在一定循环上积分的剩余积分的方法。这样的积分与某一方程组的根的幂和有关。所描述的方法可用于开发从超越系统中消除未知数的方法。
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